PHYS30441 Electrodynamics (M) Introduction L1 Gavin Smith Room 4.12 - PowerPoint PPT Presentation

PHYS30441 Electrodynamics (M) Introduction L1 Gavin Smith Room 4.12 gavin.smith@manchester.ac.uk http://nucpc100.ph.man.ac.uk/electrodynamics/

Syllabus 0. Introduction and Overview (1 Lecture) 1. Electromagnetic Field Equations (7 lectures) Maxwell's equations and wave solutions. Definition of scalar and vector potentials. Poisson's equation and electro- and magnetostatics; Multipole expansions. Electrodynamics in Lorentz Gauge; The inhomogeneous wave equation and the retarded time. 2. Accelerating Charges (6 lectures) Lienard-Wiechert potentials; Power radiated from an arbitrarily moving charge. Larmor's power formula; Synchrotron radiation; Bremsstrahlung. 3. Harmonically Varying Sources (2 lectures) Multipole radiation; Electric (Hertzian) and magnetic dipole radiation; Rayleigh and Thomson scattering. 4. Electromagnetism and Relativity (6 lectures) Four vectors and tensors; Covariant and contravariant formalism of Lorentz transformations; Relativistic dynamics. Consistency of Maxwell's equations and relativity. Electromagnetic field tensor and electrodynamics in covariant form.

Units We will use SI units but Gaussian units are common in the literature

Laplacian Divergence of Curl, Curl of Grad both zero Divergence Theorem Stokes’ Theorem See Supplementary Maths Example Sheet 1

Introduction to Electrodynamics Classical Electromagnetic Radiation Griffiths (SI) Marion and Heald (Gaussian) (now Dover) Classical Electrodynamics Principles of Electrodynamics Jackson Schwartz (SI & Gaussian) (Gaussian)

Charles Augustin de Coulomb Torsion Balance Coulomb’s Law published 1785 (John Robinson 1769 unpublished) Coulomb Henry Cavendish 1773 No charge on inner globe Inverse square law